Topic
Retrial queue
About: Retrial queue is a research topic. Over the lifetime, 784 publications have been published within this topic receiving 12354 citations.
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01 Jan 2022••
01 Jan 2022
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01 Jan 2023TL;DR: In this article , the authors investigate a finite-source retrial queueing system with two-way communication and conduct a sensitivity analysis on the performance measures by using different distributions of the customers' retrial time in two separate cases.
Abstract: The purpose of this study is to investigate a finite-source retrial queueing system with two-way communication. Customers, who arrive from a finite source according to an exponential distribution, are referred to as primary customers. If the service unit is available, these customers will receive service immediately, but if not, they are redirected to the orbit and attempt to reach the server again after a random amount of time. The system is unique in that when the server becomes idle, an outgoing call, also known as a secondary customer, is made to the orbit and source with varying parameters. Both primary and secondary customers receive service following an exponential distribution, but with differing rates. This investigation aims to conduct a sensitivity analysis on the performance measures by using different distributions of the customers’ retrial time in two separate cases. The results of the comparison will be displayed graphically.
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09 Apr 2019
TL;DR: The necessary and suffcient condition for the system to be stable have been derived, the stationary probability distribution and some performance measures are obtained, and some numerical examples are illustrated to validate the proposed model.
Abstract: This paper deals with the analysis of an M/G/1 retrial queue with starting failure and working vacation which arise in many industries. The single server provides service in both a normal busy period and in a vacation period, which turn as working vacations. We assume that, during the normal busy period, the server faces unreliability due to starting failure. In working vacation period the server will provide service lower rate rather than completely stopping the service. After the vacation completion instant, the server will come back to the normal working and starts serving the customers. The necessary and suffcient condition for the system to be stable have been derived. Using supplementary variable method, we obtain the stationary probability distribution and some performance measures. To validate the proposed model some numerical examples are illustrated. Further, we carry out some special cases for the proposed model.